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Finding the Fourth Proportional to 22,500, 33,751.67 and 8,649

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Solution

The fourth proportional to 22,500, 33,751.67 and 8,649 is: 12,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,500 : 33,751.67 = 8,649 : x
  2. Step 2: Convert to fraction form
    22,500/33,751.67 = 8,649/x
  3. Step 3: Cross multiply
    22,500x = 33,751.67 × 8,649
  4. Step 4: Simplify right side
    22,500x = 291,918,150.59
  5. Step 5: Solve for x
    x = 291,918,150.59/22,500
  6. Step 6: Final answer
    x = 12,974.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.